TSTP Solution File: TOP001-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : TOP001-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 03:40:50 EDT 2024

% Result   : Unsatisfiable 2.27s 1.12s
% Output   : CNFRefutation 2.27s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ element_of_set(X0,union_of_members(X1))
    | element_of_set(X0,f1(X1,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_of_members_1) ).

cnf(c_50,plain,
    ( ~ element_of_set(X0,union_of_members(X1))
    | element_of_collection(f1(X1,X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_of_members_2) ).

cnf(c_51,plain,
    ( ~ element_of_set(X0,X1)
    | ~ element_of_collection(X1,X2)
    | element_of_set(X0,union_of_members(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_of_members_3) ).

cnf(c_52,plain,
    ( ~ basis(X0,X1)
    | equal_sets(union_of_members(X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',basis_for_topology_28) ).

cnf(c_53,plain,
    ( ~ element_of_collection(X0,top_of_basis(X1))
    | ~ element_of_set(X2,X0)
    | element_of_set(X2,f10(X1,X0,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_37) ).

cnf(c_54,plain,
    ( ~ element_of_collection(X0,top_of_basis(X1))
    | ~ element_of_set(X2,X0)
    | element_of_collection(f10(X1,X0,X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_38) ).

cnf(c_56,plain,
    ( ~ element_of_set(X0,X1)
    | ~ subset_sets(X1,X2)
    | element_of_set(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_2) ).

cnf(c_57,plain,
    ( ~ equal_sets(X0,X1)
    | subset_sets(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_3) ).

cnf(c_58,plain,
    ( element_of_set(in_1st_set(X0,X1),X0)
    | subset_sets(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_4) ).

cnf(c_59,plain,
    ( ~ element_of_set(in_1st_set(X0,X1),X1)
    | subset_sets(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_5) ).

cnf(c_60,negated_conjecture,
    basis(cx,f),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1a_1) ).

cnf(c_61,negated_conjecture,
    ~ subset_sets(union_of_members(top_of_basis(f)),cx),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1a_2) ).

cnf(c_123,plain,
    equal_sets(union_of_members(f),cx),
    inference(resolution,[status(thm)],[c_52,c_60]) ).

cnf(c_128,plain,
    subset_sets(union_of_members(f),cx),
    inference(resolution,[status(thm)],[c_57,c_123]) ).

cnf(c_272,plain,
    top_of_basis(f) = sP0_iProver_def,
    definition ).

cnf(c_273,plain,
    union_of_members(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_274,negated_conjecture,
    ~ subset_sets(sP1_iProver_def,cx),
    inference(demodulation,[status(thm)],[c_61,c_272,c_273]) ).

cnf(c_490,plain,
    ( ~ subset_sets(f1(X0,X1),X2)
    | ~ element_of_set(X1,union_of_members(X0))
    | element_of_set(X1,X2) ),
    inference(superposition,[status(thm)],[c_49,c_56]) ).

cnf(c_491,plain,
    ( ~ subset_sets(X0,X1)
    | element_of_set(in_1st_set(X0,X2),X1)
    | subset_sets(X0,X2) ),
    inference(superposition,[status(thm)],[c_58,c_56]) ).

cnf(c_519,plain,
    ( ~ element_of_collection(f10(X0,X1,X2),X3)
    | ~ element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_set(X2,X1)
    | element_of_set(X2,union_of_members(X3)) ),
    inference(superposition,[status(thm)],[c_53,c_51]) ).

cnf(c_543,plain,
    ( ~ subset_sets(X0,X1)
    | ~ subset_sets(X1,X2)
    | element_of_set(in_1st_set(X0,X3),X2)
    | subset_sets(X0,X3) ),
    inference(superposition,[status(thm)],[c_491,c_56]) ).

cnf(c_651,plain,
    ( ~ subset_sets(X0,union_of_members(f))
    | element_of_set(in_1st_set(X0,X1),cx)
    | subset_sets(X0,X1) ),
    inference(superposition,[status(thm)],[c_128,c_543]) ).

cnf(c_675,plain,
    ( ~ subset_sets(X0,union_of_members(f))
    | subset_sets(X0,cx) ),
    inference(superposition,[status(thm)],[c_651,c_59]) ).

cnf(c_687,plain,
    ( ~ element_of_set(in_1st_set(sP1_iProver_def,cx),cx)
    | subset_sets(sP1_iProver_def,cx) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_706,plain,
    ( ~ element_of_collection(X0,top_of_basis(X1))
    | ~ element_of_set(X2,X0)
    | element_of_set(X2,union_of_members(X1)) ),
    inference(superposition,[status(thm)],[c_54,c_519]) ).

cnf(c_719,plain,
    ( ~ element_of_set(X0,X1)
    | ~ element_of_collection(X1,sP0_iProver_def)
    | element_of_set(X0,union_of_members(f)) ),
    inference(superposition,[status(thm)],[c_272,c_706]) ).

cnf(c_750,plain,
    ( ~ element_of_collection(X0,sP0_iProver_def)
    | element_of_set(in_1st_set(X0,X1),union_of_members(f))
    | subset_sets(X0,X1) ),
    inference(superposition,[status(thm)],[c_58,c_719]) ).

cnf(c_795,plain,
    ( ~ element_of_collection(X0,sP0_iProver_def)
    | subset_sets(X0,union_of_members(f)) ),
    inference(superposition,[status(thm)],[c_750,c_59]) ).

cnf(c_818,plain,
    ( ~ element_of_collection(X0,sP0_iProver_def)
    | subset_sets(X0,cx) ),
    inference(superposition,[status(thm)],[c_795,c_675]) ).

cnf(c_868,plain,
    ( ~ element_of_set(X0,union_of_members(sP0_iProver_def))
    | subset_sets(f1(sP0_iProver_def,X0),cx) ),
    inference(superposition,[status(thm)],[c_50,c_818]) ).

cnf(c_870,plain,
    ( ~ element_of_set(X0,sP1_iProver_def)
    | subset_sets(f1(sP0_iProver_def,X0),cx) ),
    inference(light_normalisation,[status(thm)],[c_868,c_273]) ).

cnf(c_888,plain,
    ( ~ element_of_set(X0,union_of_members(sP0_iProver_def))
    | ~ element_of_set(X0,sP1_iProver_def)
    | element_of_set(X0,cx) ),
    inference(superposition,[status(thm)],[c_870,c_490]) ).

cnf(c_889,plain,
    ( ~ element_of_set(X0,sP1_iProver_def)
    | element_of_set(X0,cx) ),
    inference(light_normalisation,[status(thm)],[c_888,c_273]) ).

cnf(c_906,plain,
    ( element_of_set(in_1st_set(sP1_iProver_def,X0),cx)
    | subset_sets(sP1_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_58,c_889]) ).

cnf(c_917,plain,
    ( element_of_set(in_1st_set(sP1_iProver_def,cx),cx)
    | subset_sets(sP1_iProver_def,cx) ),
    inference(instantiation,[status(thm)],[c_906]) ).

cnf(c_918,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_917,c_687,c_274]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : TOP001-2 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.11  % Command  : run_iprover %s %d THM
% 0.09/0.31  % Computer : n003.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Thu May  2 21:18:20 EDT 2024
% 0.15/0.31  % CPUTime  : 
% 0.15/0.43  Running first-order theorem proving
% 0.15/0.43  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.27/1.12  % SZS status Started for theBenchmark.p
% 2.27/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 2.27/1.12  
% 2.27/1.12  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.27/1.12  
% 2.27/1.12  ------  iProver source info
% 2.27/1.12  
% 2.27/1.12  git: date: 2024-05-02 19:28:25 +0000
% 2.27/1.12  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.27/1.12  git: non_committed_changes: false
% 2.27/1.12  
% 2.27/1.12  ------ Parsing...successful
% 2.27/1.12  
% 2.27/1.12  
% 2.27/1.12  
% 2.27/1.12  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.27/1.12  
% 2.27/1.12  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.27/1.12  
% 2.27/1.12  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.27/1.12  ------ Proving...
% 2.27/1.12  ------ Problem Properties 
% 2.27/1.12  
% 2.27/1.12  
% 2.27/1.12  clauses                                 13
% 2.27/1.12  conjectures                             1
% 2.27/1.12  EPR                                     3
% 2.27/1.12  Horn                                    12
% 2.27/1.12  unary                                   5
% 2.27/1.12  binary                                  4
% 2.27/1.12  lits                                    25
% 2.27/1.12  lits eq                                 2
% 2.27/1.12  fd_pure                                 0
% 2.27/1.12  fd_pseudo                               0
% 2.27/1.12  fd_cond                                 0
% 2.27/1.12  fd_pseudo_cond                          0
% 2.27/1.12  AC symbols                              0
% 2.27/1.12  
% 2.27/1.12  ------ Schedule dynamic 5 is on 
% 2.27/1.12  
% 2.27/1.12  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.27/1.12  
% 2.27/1.12  
% 2.27/1.12  ------ 
% 2.27/1.12  Current options:
% 2.27/1.12  ------ 
% 2.27/1.12  
% 2.27/1.12  
% 2.27/1.12  
% 2.27/1.12  
% 2.27/1.12  ------ Proving...
% 2.27/1.12  
% 2.27/1.12  
% 2.27/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 2.27/1.12  
% 2.27/1.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.27/1.12  
% 2.27/1.12  
%------------------------------------------------------------------------------